\subsection{换元法}

	\begin{ti}
		求 $\int_{0}^{1} \arcsin \sqrt[3]{x} \dd{x}$.
	\end{ti}

	\begin{ti}
		求 $\int_{0}^{- \ln 2} \sqrt{1 - \ee^{2x}} \dd{x}$.
	\end{ti}

	\begin{ti}
		求 $\int_{0}^{\uppi} \frac{x \sin x}{1 + \sin^{2}x} \dd{x}$.
	\end{ti}

	\begin{ti}
		求 $\int_{0}^{1} \arctan \sqrt{x} \dd{x}$.
	\end{ti}

	\begin{ti}
		求 $\int \frac{\dd{x}}{2 + \cos x}$.
	\end{ti}

	\begin{ti}
		求 $\int_{2}^{+\infty} \frac{\dd{x}}{x \sqrt{x^{2} + 4x}}$.
	\end{ti}

	\begin{ti}
		求 $\int_{0}^{1} \frac{x}{\sqrt{1 - x^{2}}} \arcsin x \dd{x}$.
	\end{ti}

	\begin{ti}
		求 $\int \frac{\dd{x}}{x + \sqrt{x + 2}}$.
	\end{ti}

	\begin{ti}
		求 $\int_{-\frac{\uppi}{4}}^{\frac{\uppi}{4}} \frac{2^{x - 1}}{2^{x} + 1} \cos^{4}2x \dd{x}$.
	\end{ti}

	\begin{ti}
		求 $\int \frac{x + 1}{\left( 1 + x^{2} \right)^{2}} \dd{x}$.
	\end{ti}

	\begin{ti}
		求 $\int \frac{x^{2}}{\sqrt{4 - x^{2}}} \dd{x}$.
	\end{ti}

	\begin{ti}
		求 $\int_{0}^{2} \bigl[ (x - 1)^{3} + 2x \bigr] \sqrt{1 - \cos 2 \uppi x} \dd{x}$.
	\end{ti}

	\begin{ti}
		求 $\int_{0}^{2} (2x + 1) \sqrt{2x - x^{2}} \dd{x}$.
	\end{ti}

	\begin{ti}
		求 $\int_{0}^{4} \frac{3}{4} x^{2} \sqrt{4x - x^{2}} \dd{x}$.
	\end{ti}

	\begin{ti}
		$\int_{-\frac{\uppi}{2}}^{\frac{\uppi}{2}} \frac{3 \ee^{x} \sin^{2}x}{1 + \ee^{x}} \dd{x} = $\htwo.
	\end{ti}

	\begin{ti}
		求 $I = \int_{0}^{+\infty} \frac{1}{\left( x^{2} + 1 \right) \left( 1 + x^{5} \right)} \dd{x}$.
	\end{ti}